. Mathematics, compiled from the best authors and intended to be the text-book of the course of private lectures on these sciences in the University at Cambridge [microform]. ATION. 1. To find the other leg BC. R x sin. AB = cot. A. x tang. BC. Cot. A 40° 30 5 ar. co. 99315202 : R 90 10 : : Sin. AB 47 30 4 98676386 : Tang. BC 32 12 97991588 The side BC is of the same affection as the givenangle A. 2. To find the other angle C. R x cos. C = cos. AB x sin. A. R 90° 10 : Sin. A 40 30 5 98125567 :: Cos. AB 47 30 4 98296742 : Cos. C 63 58 30 96422309 The angle C is like the given leg AB. 3. To find
. Mathematics, compiled from the best authors and intended to be the text-book of the course of private lectures on these sciences in the University at Cambridge [microform]. ATION. 1. To find the other leg BC. R x sin. AB = cot. A. x tang. BC. Cot. A 40° 30 5 ar. co. 99315202 : R 90 10 : : Sin. AB 47 30 4 98676386 : Tang. BC 32 12 97991588 The side BC is of the same affection as the givenangle A. 2. To find the other angle C. R x cos. C = cos. AB x sin. A. R 90° 10 : Sin. A 40 30 5 98125567 :: Cos. AB 47 30 4 98296742 : Cos. C 63 58 30 96422309 The angle C is like the given leg AB. 3. To find the hypotenuse AC. R x cos. A = tang. AB x cot. AB 47° 30 4 ar. co. 99620356: R 90 10* :: Cos. A 40 30 5 9*8810365 : Cot. AC 55 8 98430721 The hypotenuse AC is acute, because the given leg andangle are alike. CASE 5. Example. Given the two legs, namely, AB = 47° 304, and BC=32° 12 ; to find the rest. 4-30 MATHEMATICS. PROJECTION OF THE TRIANGLE. 1. At the circumference. Set AB on the circumfer-ence, and draw the right cir-cle BCx. Set BC from y toz ; reduce z to m; draw thequadrant mCn ; and throughC, where it intersects BCx,draw the oblique circle (i 2. At the centre. Set AB from A to B, byProb. VI, 2 ; through d, B,e, project the oblique circledBe ; on which set the oth-er leg BC, by means of theparallel circle xCy.
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